10006105500610 has 16 divisors (see below), whose sum is σ = 18011047926456. Its totient is φ = 4002429305728.

The previous prime is 10006105500551. The next prime is 10006105500617. The reversal of 10006105500610 is 1600550160001.

10006105500610 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7025272173529 + 2980833327081 = 2650523^2 + 1726509^2 .

It is not an unprimeable number, because it can be changed into a prime (10006105500617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2041734 + ... + 4917406.

Almost surely, 2^{10006105500610} is an apocalyptic number.

10006105500610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10006105500610 is a deficient number, since it is larger than the sum of its proper divisors (8004942425846).

10006105500610 is a wasteful number, since it uses less digits than its factorization.

10006105500610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223637.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10006105500610 its reverse (1600550160001), we get a palindrome (11606655660611).

The spelling of 10006105500610 in words is "ten trillion, six billion, one hundred five million, five hundred thousand, six hundred ten".